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I am not crazy, this is an actual geometry question that I found interesting as a non math person.

I have a MacBook Pro 15 with dimensions 35 x 24 x 1.5 and I want to buy an handbag and know if it will fit. The dimensions of the bag are 32 x 20 x 20 (the typical maximum dimensions for the second handbag that airlines allow are 35 x 20 x 20, but it would have been easier).

In the case of a 35 x 20 x 20 bag it is very easy because you put the laptop by the diagonal of the bag (sqrt(32^2+20^2)=37.74 < 35) if we count the height of the laptop as 0 instead of 1.5 (so considering it a Rectangle instead of a Parallelepiped).

In the case of a 32 x 20 x 20 bag how can I calculate if it fits (putting the Rectangle laptop tilted in respect of 2 dimensions instead of 1 in the Parallelepiped)?

And how can I do the same calculations counting the height of the laptop as different from 0 (so counting both the laptop and the bag as Parallelepipeds)?

(If this doesn't belong to this sub Stack Exchange I am very happy to know where I should put this)

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  • $\begingroup$ Yes, a very nice question! $\endgroup$ – Orest Bucicovschi Oct 15 '17 at 15:37
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    $\begingroup$ It's tangential to the actual mathematical question, but you probably don't want a bag that would just barely fit your laptop when it is tilted in a specific way. I don't think it would be good for the laptop (e.g. if you put down the bag too hard, the ground/table is going to hit it straight at the corner). If possible, I would suggest trying out the bag with the laptop (as in, physically putting it inside) and checking if it looks like it fits fine before buying it. $\endgroup$ – tomasz Oct 15 '17 at 16:36
  • $\begingroup$ @tomasz It will be only for some time, as those are the measures of a lot of low cost companies for the second hand baggage. I simply want to know if I have to put the laptop in my first hand bag (in the overhead compartment) or in my second one (under the seat in front). $\endgroup$ – Andrea Bergonzo Oct 15 '17 at 20:56
  • $\begingroup$ @AndreaBergonzo: I've never needed more than one luggage piece, but if the bag is going to barely contain just the laptop anyway, why not just take the laptop itself as the second luggage piece? $\endgroup$ – tomasz Oct 15 '17 at 23:50
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If I have understood your question correctly, I think your laptop will fit in the second bag. enter image description here

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  • $\begingroup$ Wow! Thanks! A little bit of elaboration on how you came up with that solutions? Is it a tool or simple drawing? $\endgroup$ – Andrea Bergonzo Oct 15 '17 at 16:27
  • $\begingroup$ @AndreaBergonzo, it is just a simple drawing. $\endgroup$ – Seyed Oct 15 '17 at 16:47

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